A new technique for recognizing fractured zones in P

RUSSIAN JOURNAL OF EARTH SCIENCES, VOL. 12, ES5004, doi:10.2205/2012ES000523, 2012
A new technique for recognizing fractured zones in
P-P reflection fields, applied to the study of a North
Sea oil reservoir
Irina I. Semerikova1 , J. Russ Evans2 , David C. Booth2 , Hengchang Dai2 , and Tatiana S. Blinova1
Received 15 September 2012; accepted 17 September 2012; published 29 October 2012.
A technique is presented for recognizing different types of fractured zones within the internal
subsurface structure, including zones of extended fractures with dimensions larger than
the signal wavelength, and zones of small differently oriented fractures with dimensions
smaller than the signal wavelength. The technique is based on dynamic analysis, using
prospecting indicators for fractures and faults of different classes, determined from the
dynamic parameters of P-P reflections. These prospecting indicators are determined from
the results of seismic modeling, as well as physical modeling with samples of natural rock
and field seismic surveys on known fractured objects with fracture parameters in different
lithologic rock types. We have studied the quality, stability and statistical significance of
the indicators, and on the basis of the dynamic analysis we determine the probability of the
presence of fractured objects of a particular type. The resulting technique has been applied
to a fractured hydrocarbon reservoir under the North Sea, where it has been possible to
better determine the particular features of its geologic structure. Fractured zones in a
gas-saturated unstratified subsurface have been mapped; possible large tectonic faults and
block structure have been revealed; results show the likely presence of diffracting objects
within the rock matrix, determine their type, and improve the imaging of reflecting horizons
with weak intensity and fragmented correlation. KEYWORDS: Reservoir geophysics; parameter
estimation; modelling; wave interpretation.
Citation: Semerikova, Irina I., J. Russ Evans, David C. Booth, Hengchang Dai, and Tatiana S. Blinova (2012), A new technique
for recognizing fractured zones in P-P reflection fields, applied to the study of a North Sea oil reservoir, Russ. J. Earth. Sci., 12,
ES5004, doi:10.2205/2012ES000523.
1. Introduction
One of the basic research problems of seismic prospecting
is the exploration and mapping of fractured zones. We obtain additional information about faults and fractures on the
basis of studying changes of dynamic parameters (amplitude,
spectra) of the P-P reflection. It is expected that for fractured zones with different internal structures the prospecting indicators should be different, and primarily the dynamic
characteristics of seismic waves, as they are the most sensitive to changes in geological factors. It is clear that this
seismic prospecting problem is not a simple one, due to
the many factors which influence the dynamic parameters
1 Organization of the Russian Academy of Sciences Mining Institute of the Ural Branch of the RAS, Perm, Russia
2 British Geological Survey, Edinburgh, UK
Copyright 2012 by the Geophysical Center RAS.
http://elpub.wdcb.ru/journals/rjes/doi/2012ES000523.html
[Ampilov, 2004; Blias, 2005], as well as their smaller resistance to noise caused by signal reception and processing,
when compared with the kinematic parameters. However in
recent years dynamic parameters have become increasingly
attractive for the interpreter, when they bring new information on features of the subsurface, due to their sensitive
reaction to its seismic response, together with rapidly appearing new techniques directed to preserving the validity
of their values during field data processing.
Since the inverse problem of seismic prospecting is generally ambiguous, the majority of interpretive methods use
empirically-found connections between seismic parameters
and the physical properties of the subsurface.
Our investigations in recent years [Babkin and Akhmatov, 2004; Semerikova, 2002, 2005a, 2005b, 2006b] have
been aimed at finding connections between the physicalmechanical properties of the subsurface (including fractures)
and the set of seismic dynamic parameters, in order to identify and map anomalies. For this, a detailed survey has been
performed to find the most informative and stable dynamic
parameters. We studied their behavior and the degree of sen-
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performed in the high-frequency range (HF filter 200 Hz –
LF filter 20 kHz).
Different fracture models were used. In the experiments,
the rock samples were sawn through to create fractures. The
fracture models include:
∙ single oblique fracture longer than the signal wavelength;
∙ two non-parallel fractures one of which is smaller than
the signal wavelength;
∙ cylindrical hole;
∙ different single-axial loadings on samples without fractures, aimed at studying the behavior of dynamic
parameters under changes of stress-deformation [Semerikova, 2007a, 2011].
Figure 1. Case study of physical modelling.
sitivity, which are important features of their dependence on
the fracturing parameters
2. Determination of Dynamic Parameters
The problem of determining the set of dynamic parameters for fractured objects of different types and classes has
been solved by using three different and independent methods [Semerikova, 2002, 2005a, 2005b].
1. Mathematical modelling of the theoretical wave fields
was performed using synthetic seismogram software based
on ray theory. Modelling was carried out for 67 different
models, with and without fractures of various types:
∙ single inclined quasi-vertical, with dimensions either
much larger or smaller than the signal wavelength, or
comparable to the signal wavelength, slightly less than
the signal wavelength;
∙ an accumulation of small fractures (with dimensions
much smaller than the signal wavelength) in different
lithologic layers. For seismic modelling, we use realistic parameters defining the elastic properties, lithologic and structural characteristics of the subsurface,
defined by geological and geophysical data in field areas (Volga-Ural Oil Province, Permskoye Prikamje,
Verkhnekamskoye Potassium Salt Deposit).
3. Parameters were also investigated and derived by using
seismic CDP in different regions where there are “training
objects” – fractured bodies with known geology and fracture parameters – in naturally occurring different lithologic
rock types (terrigeneous, carbonate, evaporites). An example is the extended single fractures and accumulations
of small differently oriented fractures, opened and recorded
during mine excavations in the Verkhnekamskoye Potassium
Salt Deposit. In this case, the mine seismic data have been
used. Other training objects, confirmed by wells, are: fractured oil reservoirs in the Western Urals Folding zone, and
in the Pre-Urals depression in the Tournaisian limestone
in the anticlinal structures over Frasnian-Famennian reefs
(Volga-Ural Oil Province); terrigenous deposits in the unique
fractured reservoir of Bazhenov Formation in West Siberia,
as well as fixed karst phenomena on the surface and in a
near-surface zone in the areas of intensive development of
sulphate-carbonate karst near Kungur, Perm region.
3. Prospecting Indicators
As a result of the above research studies, we have determined the prospecting indicators for fractured objects
in the following dynamic parameters of P-P reflections [Semerikova, 2002, 2005a, 2005b]:
2. Research was also performed using physical modeling.
The acquisition geometry for common depth points (CDP)
[Babkin and Akhmatov, 2004; Sanfirov, 1999] was simulated
on natural rock samples (parallelepipeds 30 × 20 × 10 cm, see
Figure 1). Shooting is conducted along the two orthogonal
surfaces of the samples – on a plane parallel to the horizontal
layering of the samples and in a plane of vertical layering.
Measurements are performed by geophones, and the excitation source is a bolt hit by a hammer. Experiments are
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∙ mean amplitude 𝐴cp ;
∙ frequency centroid coordinate 𝐹c (where the centroid
is the mathematical expectation of the amplitude spectrum);
∙ spectrum width;
∙ upper and lower frequency limits;
∙ gradients of the mean amplitudes in the directions of
𝑋 and 𝑡: grad𝑋 .𝐴cp , grad𝑡 .𝐴cp ;
∙ difference of the amplitude spectra in intervals containing anomalous parameters and those which do not
contain anomalies: Δ𝐴(𝑓 );
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∙ absolute values of parameters.
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Spectral indicators:
1. A maximum decrease of the spectral composition of
the elastic waves in the time interval containing a fracture occurs on the horizontal area of length equal to
the projection of inclined fracture to the land surface.
There happens a scattering of high-frequency elastic
waves, whose wavelength is commensurate with the
length of the projection of the fracture. The active
band shifts towards low frequencies and so the frequency coordinate of the centroid also shifts.
The parameters accepted as prospecting indicators are
selected from the set of dynamic parameters (based on amplitude, spectra), as being the most stable and statistically
significant, and where parameter anomalies exceed the noise
level.
The differences in their variability allow distinguishing
zones of different internal structure [Semerikova, 2005a,
2005b]. These prospecting indicators are grouped according
to types (classes): for extended fractures (lengths greater or
equal to signal wavelengths) and concentrations of small differently oriented fractures (lengths shorter than signal wavelengths).
2. Decreasing frequency of the maximum of the amplitude spectrum occurs on the horizontal area of length
equal to the projection of inclined fracture to the land
surface.
3.1. Prospecting Indicators for Extended Fractures
3. For a vertical fracture, a reduction in the frequency
spectral peak occurs just at the intersection with the
reflecting horizon.
Amplitude indicators:
1. On a section of mean amplitudes, an inclined seismic
event of large maximal values is formed. It is caused
by the reflected wave from the fracture surface. This
wave has the greatest intensity.
4. An abrupt, intermittent increase and decrease of the
spectral amplitudes occurs when the seismic profile
intersects the vertical fracture. A steady relaxation
of the spectral amplitudes takes place with increasing
distance from the fracture.
2. The reflected wave from the surface of the inclined
fracture is shown by abnormally high absolute values
of the gradients of the mean amplitudes in the direction of 𝑡.
5. For inclined fractures, the values of the amplitudes
of the spectra on both sides of the fracture are very
different.
6. The horizontal extent of the anomaly of the maximum
difference between the energy spectra in the interval
without a fracture and the interval containing the fracture is equal to the length of the inclined fracture projection at the reflecting horizon. The values of the frequency coordinate of the centroid, for this anomaly,
diminish when the length of the fracture projection
increases. Thus, there is scattering of waves whose
wavelength is similar to the lengths of the fracture
projection.
3. On the reflecting horizons under an inclined fracture,
the values of mean amplitudes tend to zero within a
segment of dimension equal to the projection of the
fracture at these horizons. A “shadow” segment is
formed.
4. On sections of absolute values of mean amplitudes the
zero values represent a “shadow segment” in a shape
of a triangle formed by the fracture surface and its
projection on the underlying horizon near by the lower
end of the fracture.
5. The “shadow segment” under a vertical fracture is
transformed into a trough or peak, showing zero values of mean amplitudes directly at the lower end of
the fracture.
3.2. Prospecting Indicators for Zones of
Concentration of Small Differently Oriented
Fractures
6. The intersection area of the reflecting horizon with
both vertical and inclined fractures is identified by
extreme values of mean amplitudes of the reflecting
horizon.
7. There exist high absolute values of the gradient of
mean amplitudes of the reflecting horizon in the area
of a fracture.
8. A trough (minimum value) of the mean amplitude of
the reflecting horizon exists at the upper end of a fracture. This minimum value is half or less of the mean
amplitude.
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1. In fractured zones – the absolute values of mean amplitudes are zero (or close to zero).
2. On the sections of mean amplitudes there are no inclined seismic events existing in the presence of extended inclined fractures.
3. In the spectral parameters sections (i.e. frequency coordinate of the centroid, frequency of the maximum
of the amplitude spectrum) a maximum increase of
frequency values is found in the area of the zones of
concentration of small differently oriented fractures.
This is in contrast to the decrease in these parameters
which is characteristic of the extended fractures.
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4. In favourable conditions, the maximum gradient of the
mean amplitudes may image the “smooth” walls of the
fractured zone.
5. Zero values in the section of the module of a gradient
of the mean amplitudes over time indicate the zones
of small differently oriented fractures, whose combination can create diffracting objects.
4. Technique for Recognition of Fracture
Zones
Application efficiency is based on the objective preconditions. They are the following:
∙ the occurrence of certain anomalies of amplitude and
spectral parameters, caused by the presence of fractures of various types;
if ((𝑐(𝑡𝑖 , 𝑥𝑗 ) − 𝑐cp ≥ 𝑛2 𝛿); 1; 0.5); 0
The criteria of the statistical significance of an anomaly
are the root-mean-square error of parameter values 𝛿, and
the value 1/4 − 1/6 𝐷, where 𝐷 is the diameter of the
first Fresnel zone. The algorithm for the interpretation (and
recognition) of fractured zones within internal structure involves a two-step scheme (Figure 2). Methodically the analysis of parameters begins with the universal prospecting indicators in the P-P reflection fields, which are significant for
all different classes of fractured zones. At the second stage a
transition to individual, unique indicators and more specific
problems is carried out. As a result it is obviously possible
to reveal and make a division of fractured zones according to
their internal structure. One of the branches of the scheme
deduces the zones of small differently-oriented fractures, another deduces the extended fractures. Our approach to the
solution is to partition it into three tasks.
The initial task is to obtain certain differential dynamic
parameters in the form of time sections. This is performed
in the framework of our technique of dynamic analysis for
each time section value.
The second task is to find in sections some certain anomalies in the behaviour of these dynamic parameters caused by
occurrence of a fractured body of some class. These anomalies must exceed the noise level remaining after processing.
Then the credibility level of the existence of these anomalies
is estimated on the basis of the determination of errors remained after compensation for other factors affecting these
seismic parameters.
For each time reading we can write an equation for the
approximate coefficient of probability of the existence of
anomaly of a dynamic parameter. We present a formula
in the following way
𝑟𝑘 (𝑡𝑖 , 𝑥𝑗 ) = if ((𝑐(𝑡𝑖 , 𝑥𝑗 ) − 𝑐cp ≥ 𝑛1 𝛿
(1)
where 𝑐(𝑡𝑖 , 𝑥𝑗 ) is a parameter value at a point on the time
section, 𝑐cp is its mean value in the interval of the time
section, 𝛿 is the RMS deviation of the parameter, 𝑖, 𝑗 –
sample number, trace number, 𝑛1 , 𝑛2 – known coefficients
depending on quality of seismic data.
The final task is the formation of a time section of the
effective parameter of the presence probability of the fractured body. After the evaluation of the probabilities of presence of anomalies of parameters they are converted into a
common parameter of probability of fractured object presence of some special type (extended or small fractures) – the
effective parameter. This parameter is the main output parameter. Estimation of the probability of the presence of a
certain class of object is realized through effective accumulation (summation) of all evaluations of reliability of seismic
parameters anomalies. Effective parameter of probability
𝑐𝑝𝑝 (𝑡𝑖 , 𝑥𝑗 ) =
∙ a display of regular matches in the behaviour of the
given parameter anomalies;
∙ anomalies must exceed the level of noise and the errors
remaining after compensation for other factors which
influence the given parameters [Blias, 2005].
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𝑘
∑︁
𝑎𝑘 𝑟𝑘 (𝑡𝑖 , 𝑥𝑗 )
(2)
1
where 𝑎𝑘 is the known intensity of the 𝑘-th dynamic parameter (or weight).
5. Application: A Case Study From the
North Sea
This work was carried out as part of a collaboration between the Mining Institute of the Urals Branch of Russian
Federation Academy of Sciences (UB RAS) and the British
Geological Survey (BGS). The study is conducted on a geological site in the North Sea. The initial data were a seismic
stacked section of P-waves, provided by the Kerr McGhee oil
company to the British Geological Survey (BGS) (Figure 3).
The aim is to study the possibilities of extracting additional
information about the disjunctive dislocations within a large
unstratified anticline applying the technique of recognizing
of fractured zones in the P-P reflection wavefield, as developed by the Mining Institute, UB RAS, based on analysis
of the dynamic (amplitude indicators, frequency parameter)
characteristics of elastic waves [Semerikova, 2006a, 2006b,
2007a].
Our idea was to develop aspects of our technique, as the
use of standard seismic methods for layered media is not possible for mapping fractured zones in that type of body. One
reason for this is that stable reflectors within the given body
are not recorded. The technique is based on prospecting
indicators, determined from the dynamic parameters of the
P-P reflection for the fractured bodies [Semerikova, 2002,
2005a, 2005b], as described in the previous sections.
The technique for recognizing fractured objects is based
on the calculation of parameter-indicators for seismic time
sections.
A detailed study of the variability of the behavior of the
fracture indicators gives a deeper understanding of the relationships between the effective dynamic parameters of the
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Figure 2. Scheme of the dynamic analysis.
P-P reflection and the characteristics of fractures and faults
– that is, any dislocation causing a break of continuity. This
can give new information, especially in the presence of different types of dislocation. We illustrate this using some
parameters calculated for the geological body in the North
Sea.
In the center of the stacked section (Figure 3). one can see
an unstratified body with no stable reflections inside. In the
upper part of the anticline there are buried focus reflections,
which occur when the curvature of the synclinal reflector exceeds the curvature of the wavefront. Their presence masks
structural characteristics of reflectors in the corresponding
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Figure 3. Stacked section of PP-waves.
time interval, i.e. in the interval 2000–2400 ms at CDP location = 4350 − 5000 m. This small part of the section will
not be considered in the analysis. All the rest of the section
is analyzed.
The interpretation is carried out by integrated study of
all received calculations of the dynamic parameters. Besides
the main output parameters we analyzed significant information contained in separate dynamic parameters included as
output parameters for a certain class (type) of fractured objects [Semerikova, 2002, 2005b, 2007b, 2008]. For example,
the section of the spectral parameters (frequency coordinate
of the centroid) clearly indicates the boundaries of the investigated unstratified “neck-shaped” anticline (Figure 4).
In investigating the internal structure of the neck-shaped
anticline, we suggest that the zones of zero absolute values
of the derivative of the mean amplitudes with 𝑡 (shown in
Figure 5) may indicate the presence of diffracting objects.
An example of this type of object is a hole, with a diameter of ten or more times smaller than the wavelength of
the used signal. The basis for this hypothesis is provided
by the following results of seismic investigations on a rock
sample [Semerikova, 2007a, 2007b], on which the acquisition geometry for the CDP method is simulated. It is the
same acquisition geometry which is commonly applied at
Verkhnekamsk mine over single mine workings [Babkin and
Akhmatov, 2004; Sanfirov, 1999; Semerikova, 2005a, 2006b,
2007a].
In a parallelepiped rock sample of size 34 × 16 × 11 cm a
cylindrical hole was drilled through its entire thickness, and
perpendicular to a CDP reflection profile. The CDP reflection profile passed over the upper face of the parallelepiped
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(Figure 6). The zero absolute values of the derivative of
the mean amplitudes with t identified the location of the
hole. This physical experiment proves that similar anomalies of this dynamic parameter may be caused by diffraction.
Analogously, we may assume the presence of such diffracting
elements in the internal structure of this rock matrix.
The main output parameters of the technique are the effective parameters, evaluating the probability of the presence
of fractured zones of any type (extended or small). Figure 7
shows the distribution pattern of the effective parameter
(equation 2), evaluating the probability of the presence of
extended fractures (of length greater than the signal wavelength).
The location of the highest concentration of high probability zones between 𝑇 = 2400 and 5600 ms and 𝑋 = 3750
and 6250 m coincides with the known (a priori information)
position of gas clouds in the “neck-shaped” end of the anticline. Gas clouds are indicators of fractures in the body.
Some of these zones are located in the lower time interval,
beneath the “neck” in the body of the unstratified anticline.
Subvertical narrow zones of possible extended dislocations
with a break of continuity are observed on the left and right
of the structure, which create an impression of block structure.
The distribution of the effective parameter of the presence
probability of zones of small differently oriented fractures
within the unstratified body is widely dispersed (Figure 8).
It should be noted that these effective parameters identifying fractured zones of different types show results with a
chaotic orientation of fractures as well, i.e. when the problem of finding these areas is difficult for methods based on
azimuthal analysis (for example, AVO).
Figure 4. Section of parameter – frequency coordinate of
the centroid 𝐹c .
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Figure 5. Section of absolute values of the gradient of the
mean amplitudes.
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Figure 7. Distribution of effective parameter of probability
of the presence of extended fractures.
One of the main problems for Dai et al. [2007] and Li
et al. [2007], was to display the reflectors in a relatively
shallow dome-shaped structure placed beneath the “neck”
at 𝑡 = 3200 − 3600 ms in Figure 3. Dai et al. [2007]
used Prestack Kirchoff Time Migration (PKTM) and transformation of PS-waves (Figure 9. As gas clouds “soften”
the P-waves, the PKTM technique applied to P-waves did
not give an effective result (Figure 10. The PKTM approach also takes time and requires long PC processing.
Figure 6. Physical modelling. a) Rock sample with a
through cylindrical hole. b) Stacked section of PP-waves. c)
Section of absolute values of gradient of mean amplitudes.
Vertex of the triangle of zero values corresponds to the location of the cylindrical hole.
Figure 8. Distribution of effective parameter of probability
of the presence of small differently oriented fractures.
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Figure 9. Stacked section (a) and migrated image (b) of PS-converted waves displayed in PP time [Dai
et al., 2007].
Besides, the field geometry required for recording PS-waves
is usually an additional and expensive procedure.
One of the advantages of the application of our recognition technique for fractured zones to PP reflections is that
the display and behavior of the reflectors in this anticlinal
structure are clearly expressed in the sections of gradient of
mean amplitudes (Figure 11 and Figure 12).
Moreover in some cases, reflectors like reflector “OI” in
Figure 11 are clearly evident. Usually in both stacked sec-
tions of P and S waves (Figure 9 and Figure 10), either they
cannot be correlated because of their weak intensity, or it is
only possible to map them fragmentarily. Sections of gradients of mean amplitudes allow us to identify them at both
sides of the unstratified anticline (Figure 11).
The results of such studies of the behavior of the dynamic
parameters occupy an intermediate position in the recognition techniques for fractured zones and form a basis for using
the adaptation algorithm of this technique for a “seismically
Figure 10. (a) Stacked section and (b) migrated image of P-waves [Dai et al., 2007].
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Figure 11. Distribution of the amplitude characteristic of
PP-waves.
transparent” medium, i.e. for a medium without correlated
reflectors. It is obvious that the technique presented here
may be efficiently involved in the interpretation process. Effective results can be obtained for the problem of evaluating
the character of fractures of different types. The revealed
features in the behavior of the dynamic characteristics of
P-waves play a role in identifying the geological origins of
these wavefield anomalies.
Figure 12. Amplitude parameters for PP-waves: a) the
gradient of the mean amplitudes, b) the smoothed mean
amplitude, c) the mean amplitude.
2. Similar results are obtained for the presence of zones
of small differently-oriented fractures.
3. The results suggest the existence of many diffracting
elements like cylindrical holes in the body of the studied object, the location of which corresponds to the
location of the gas cloud.
6. Conclusions
4. Finally, a variety of dynamic parameters allow us to
obtain a bright image of reflecting horizons with weak
intensity and fragmented correlation, and to perform
more reliable correlation of similar reflecting horizons.
In summary, the following additional information was obtained for the geological body in the North Sea:
1. The application of this technique allows the detection
and mapping of zones of extended fractures of length
greater than the signal wavelength. Moreover, their
spatial location is mapped “directly”. Such mapping
cannot be done with classical standard methods: disruption of a seismic event suggests a thrust-plane or
slip plane, but the presence of associated fracturing
is only a guess, and it cannot be imaged. Furthermore, the results of this technique allow the mapping
of fracturing with no dominant azimuthal direction.
This type of fracturing cannot be identified with azimuthally oriented methods such as AVO, and the
AVO-method did not reveal the presence of fracturing
on the object [Dai et al., 2007]. The spatial location
of such zones is confirmed by the spatial position of
the gas clouds. Moreover, the spatial position of the
zones of extended fractures suggests a block structure
for the object.
Acknowledgments. We thank our various colleagues who provided the seismic materials which were used to apply the recognition technique reported here, especially Xiang-Yang Li and
Zhongping Qian (BGS), Vladimir Vanyukhin (“Surgut TISIZ”
Co. LTD), and the Kerr McGhee oil company. We also thank
Irina Shibkova who assisted us by translating our more complex
discussions. This paper is published with the permission of the
Executive Director of the British Geological Survey (NERC) and
the Director of the Mining Institute of the Ural Branch of the
Russian Academy of Sciences.
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Branch of the RAS, Sibirskaya Str. 78A, 614007 Perm, Russia.
([email protected])
David C. Booth, Hengchang Dai, J. Russ Evans, British Geological Survey, Murchison House, West Mains Road, Edinburgh
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